International Workshop on Robustness and Partial Hyperbolicity

• Objectives

O Workshop tem como objetivo reunir os principais especialistas mundiais interessados no tema de hiperbolicidade parcial e tópicos correlatos num ambiente de trabalho que possa conduzir a importantes avanços nos problemas de pesquisa desta área.

Espera-se também que participe a maioria dos pesquisadores brasileiros ativos em Sistemas Dinâmicos. Igualmente muito importante, prevê-se presença muito siginificativa de estudantes de doutorado, para quem esta será uma oportunidade privilegiada para, com baixo custo, tomar contato com os últimos avanços na área.

Os principais temas de pesquisa abordados serão
• estados de Gibbs e medidas de Sinai-Ruelle-Bowen
• lemas de perturbação e sistemas genéricos
• hiperbolicidade não uniforme e hiperbolicidade parcial
• condições topológicas para hiperbolicidade parcial
• dinâmica de produtos cruzados ações de grupos
• decomposição dominada e suas consequências

 

• Organizing Committee

Maria José Pacífico (UFRJ)
Lorenzo Dias (PUC/RJ)
Marcelo Viana (IMPA)

 

• Minicourses

• Lemas de perturbação e sistemas genéricos, C. Bonatti e S. Crovisier
• Hiperbolicidade parcial e algumas conseguências dinâmicos, E. Pujals, M. Sambarino e F. Rodriguez
• Sobre existência de medidas físicas de probabilidade para sistemas parcialmente hiperbólicos, M. Tsujii

 

• Speakers

• Hyperbolic structures and decay of correlations for partially hyperbolic systems, J. Alves
• Lp-generic cocycles have one-point Lyapunov Spectrum, A. Arbieto
•Partial hyperbolicity, Lyapunov exponents and stable ergodicity,  K. Burns
• On a Palis’ conjecture in high dimensions, S. Hayashi
• Question about partially hyperbolic automorphisms, F. Ledrappier
• On the work of Sheldon Newhouse in Dynamics, W. de Melo
• Hausdorff dimensions and statistical properties of unimodal maps, C. G. Moreira
• Transitivity of non-compact extensions, V. Nitika
• Thermodynamical formalism for nonuniformly expanding maps, K. Oliveira
• A global scenario for non-conservative dynamics, J. Palis
• Accessibility, C. Pugh
• Hyperbolic endomorphisms of the annulus, J. Rivera Letelier
• Decisivness for stable ergodicity, M. Shub
• Stability of mixing for hyperbolic flows , A. Torok
• Robustly expansive homoclinic classes, J. Vieitez
• On the work of Mike Shub in Dynamics, A. Wilkinson
• Some remarks and questions on SL(2,R) cocycles, J-C Yoccoz

 

• Seminars

• Topologically connection heteroclinic connections to invariant tori, M. Gidea, Northeastern Illinois
• Abundance of stable ergodicity, C. Matheus, IMPA
• Fast mixing for attractor and infinitely hyperbolic points, A. Castro, UFCE
• Geometric measures for hyperbolic basic sets on surfaces, A. Pinto, Porto
• Partial hyperbolicity for robustly transitive symplectic diffeomorphisms V. Horita, UNESP, R. Preto
• On the approximation of time one maps of Anosov flows by Axiom A diffeomorphism, N.Guelman, Montevideo
• On a Palis’ conjecture for three-dimensional partially hyperbolic diffeomorphisms (I, II, III e IV), S. Hayashi, Tokyo
• Expansive geodesic flows have the accessibility property, R. Ruggiero, PUC
Rigidity and the relation fgft = gn, A. Wilkinson, Northwestern
• C2 densely the 2-spheres has an elliptic closed geodecis, G. Contreras, CIMAT
• Central limit theorem. Almost sure invariance principle for non uniform expanding systems, I. Melbourne, University Of Surrey
• Unstable manifolds and periodic orbits for singular hyperbolic flows, A. Arroyo, Universidad Nacional Autonoma de Mexico
• A (simple) renormalization operator for dissipative families with one point of discontinuity, E. Colli, IME/USP
Weakly hyperbolic actions on tori induce weakly hyperbolic actions on fundamental groups, B. Schmidt, (Univ. Michigan)
• Almost robust ergodicity, Ali Tahzibi, USP, São Carlos
• Continuing of SRB entropy, Ali Tahzibi, Robust examples of non isolated hyperbolic sets, T. Fisher, (Northwestern Univ)
• Topological classification for multiply saddle-connections in dimension 3, Clementa Alonso, IMPA
• Partial hyperbolicity and some problems in celestial mechanics, E. Pujals, IMPA
• Local rigidity of partially hyperbolic higher rank actions on tours via KAM, Joint work with A. Katok, Danijela Damjanovic, The Pennsylvania State University
• Global transverse disks and suspendibility criteria, R. Myers, Univ. California, Berkeley
• Coupled oscillators: Bipedal locomotion; “Strange” dynamical features, Joint work with Dr. M. Golubistsky (Univ. Houston) Carla Pinto, Instituto Superior de Engenharia do Porto, IPP
• Non-uniform hyperbolicity is dense among stably ergodic diffeomorphisms, Joint with B. Fayard e E. Pujals, Jairo Bochi, IMPA